7442487360 has 1008 divisors, whose sum is σ = 33643628928. Its totient is φ = 1532805120.

The previous prime is 7442487331. The next prime is 7442487373. The reversal of 7442487360 is 637842447.

7442487360 is a `hidden beast` number, since 7 + 44 + 248 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65862664 + ... + 65862776.

It is an arithmetic number, because the mean of its divisors is an integer number (33376616).

Almost surely, 2^7442487360 is an apocalyptic number.

7442487360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7442487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821814464).

7442487360 is an abundant number, since it is smaller than the sum of its proper divisors (26201141568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7442487360 is a wasteful number, since it uses less digits than its factorization.

7442487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 7442487360 is about 86269.8519762263. The cubic root of 7442487360 is about 1952.4175459460.

The spelling of 7442487360 in words is "seven billion, four hundred forty-two million, four hundred eighty-seven thousand, three hundred sixty".